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29364877444 = 22717239359719
BaseRepresentation
bin11011010110010010…
…000111100010000100
32210210111012100000111
4123112102013202010
5440114402034234
621253503122404
72056455224410
oct332622074204
983714170014
1029364877444
11114a9787061
1258362a3404
1329cc91ca36
1415c7d5bd40
15b6cebe664
hex6d6487884

29364877444 has 96 divisors (see below), whose sum is σ = 62705664000. Its totient is φ = 11745882624.

The previous prime is 29364877439. The next prime is 29364877447. The reversal of 29364877444 is 44477846392.

It is a happy number.

It is a super-2 number, since 2×293648774442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29364877447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40840917 + ... + 40841635.

It is an arithmetic number, because the mean of its divisors is an integer number (653184000).

Almost surely, 229364877444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29364877444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31352832000).

29364877444 is an abundant number, since it is smaller than the sum of its proper divisors (33340786556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29364877444 is a wasteful number, since it uses less digits than its factorization.

29364877444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1343 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 58.

The spelling of 29364877444 in words is "twenty-nine billion, three hundred sixty-four million, eight hundred seventy-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 239 359 476 478 718 719 956 1436 1438 1673 2513 2876 3346 4063 5026 5033 6103 6692 8126 10052 10066 12206 12223 16252 20132 24412 24446 28441 42721 48892 56882 85442 85561 85801 113764 170884 171122 171602 171841 258121 342244 343204 343682 516242 600607 687364 1032484 1201214 1202887 1458617 1806847 2402428 2405774 2917234 2921297 3613694 4388057 4811548 5834468 5842594 7227388 8776114 10210319 11685188 17552228 20420638 20449079 30716399 40841276 40898158 61432798 61690919 81796316 122865596 123381838 246763676 431836433 863672866 1048745623 1727345732 2097491246 4194982492 7341219361 14682438722 29364877444